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Finding the Fourth Proportional to 3,129.64, 4,694.29 and 789.64

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Solution

The fourth proportional to 3,129.64, 4,694.29 and 789.64 is: 1,184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.64 : 4,694.29 = 789.64 : x
  2. Step 2: Convert to fraction form
    3,129.64/4,694.29 = 789.64/x
  3. Step 3: Cross multiply
    3,129.64x = 4,694.29 × 789.64
  4. Step 4: Simplify right side
    3,129.64x = 3,706,799.16
  5. Step 5: Solve for x
    x = 3,706,799.16/3,129.64
  6. Step 6: Final answer
    x = 1,184.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.